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This contains solutions to the questions in the Dynamic Programming Problem Set.

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SOLUTION SET

Solution Number 1. Just think in a dynamic way with this approach

Take some extra memory space which is assigned to a variable array. Let's suppose the variable array is named as b[m][n]. It stores the partially calculated values in order to utilize them for further calculations.

Now the most important step is: how should the values be inserted in the array named as b[m][n].

and by activating the flags f[m][n] associated with each b[][] element, means putting the value on it to be as (1,2,3) for the respected term we can retrace the p[ath to find the solution to our problem.

This question is rated as 5 stars out of 5 for its difficulty level.

Solution Number 2. Think in the same way as above. It is left to you as an exercise.

Solution Number 3. Hint: Break the problem into sub-problems. For example, find a point means a matrix where if bifurcate this chain and then calculates the left over left and right chains we get the optimal solution,